2. An X-ray tube uses a 3000 volt difference to accelerate electrons across a 0.
ID: 1872505 • Letter: 2
Question
2. An X-ray tube uses a 3000 volt difference to accelerate electrons across a 0.5 cm gap between the plates of a parallel plate capacitor. The electrons pass through a hole in the second plate and impact on a tungsten target to create the X-rays. The charge on an electron is-1.6x101 C. The mass of an electron is 9,11x10" kg. a) What is the electric field in the gap between the plates? b) Which way should the electric field point between the plates to accelerate the electrons toward the tungsten target? Assume that the tungsten target is to the right of the parallel plates used to accelerate the electrons. c) What is the kinetic energy of the electrons in Joules when they impact the tungsten if they start from rest and fall through the potential difference maintained between the plates? d) How fast are the electrons moving in m/s when they hit the tungsten?Explanation / Answer
(A) E = V / d = 3000 V / 0.005 m
E = 0.6 x 10^6 V/m
(B) field will be in opposite direction of direction of electron velocity.
to the left
(C) KE = 3000 eV Or 4.8 x 10^-16 J
(D) KE = m v^2 / 2
4.8x 10^-16 = (9.109 x 10^-31) v^2 / 2
v = 3.25 x 10^7 m/s
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